The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A061254 Odd composite numbers n such that primitive part of Fibonacci(n) (see A061446) is prime. 7

%I #15 Jan 06 2020 08:34:59

%S 9,15,21,33,35,39,45,51,63,65,75,93,105,111,119,121,123,135,145,185,

%T 195,201,207,209,225,231,235,245,285,287,299,301,321,335,363,399,423,

%U 453,473,693,707,771,1047,1113,1215,1365,1371,1387,1533,1537

%N Odd composite numbers n such that primitive part of Fibonacci(n) (see A061446) is prime.

%H David Broadhurst, <a href="/A061254/b061254.txt">Table of n, a(n) for n=1..151 yielding primes or probable primes</a>

%H J. Brillhart, P. L. Montgomery and R. D. Silverman, <a href="https://doi.org/10.1090/S0025-5718-1988-0917832-6">Tables of Fibonacci and Lucas factorizations</a>, Math. Comp. 50 (1988), 251-260, S1-S15. Math. Rev. 89h:11002.

%t A061446[n_] := Product[Fibonacci[d]^MoebiusMu[n/d], {d, Divisors[n]}];

%t Select[Range[1, 1999, 2], CompositeQ[#] && PrimeQ[A061446[#]]&] (* _Jean-François Alcover_, Jul 04 2019 *)

%Y Cf. A061446, A061447, A061445, A061442, A061443.

%K nonn

%O 1,1

%A _David Broadhurst_, Jun 10 2001

%E Definition corrected by _T. D. Noe_, Dec 14 2006

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 16 05:56 EDT 2024. Contains 372549 sequences. (Running on oeis4.)